125337193344 has 256 divisors, whose sum is σ = 414459129600. Its totient is φ = 36954040320.

The previous prime is 125337193313. The next prime is 125337193357. The reversal of 125337193344 is 443391733521.

125337193344 is a `hidden beast` number, since 1 + 2 + 533 + 71 + 9 + 3 + 3 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 125337193344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1362039 + ... + 1451145.

It is an arithmetic number, because the mean of its divisors is an integer number (1618980975).

Almost surely, 2^125337193344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125337193344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207229564800).

125337193344 is an abundant number, since it is smaller than the sum of its proper divisors (289121936256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125337193344 is a wasteful number, since it uses less digits than its factorization.

125337193344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89178 (or 89160 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The spelling of 125337193344 in words is "one hundred twenty-five billion, three hundred thirty-seven million, one hundred ninety-three thousand, three hundred forty-four".